Between Dec 19, 2024 and Jan 2, 2025, datasets can be submitted to DRUM but will not be processed until after the break. Staff will not be available to answer email during this period, and will not be able to provide DOIs until after Jan 2. If you are in need of a DOI during this period, consider Dryad or OpenICPSR. Submission responses to the UDC may also be delayed during this time.

Browsing by Subject "Mathematical Physics"

Now showing 1 - 1 of 1
  • Thumbnail Image
    Item
    Higher Picard groupoids and Dijkgraaf-Witten theory
    (2016-08) Sharma, Amit
    In the first part of this thesis we propose a model for additive $\infty$-categories based on $\gSs$ and construct the archetype example of an additive $\infty$-category, namely the (quasi)-category of higher Picard groupoids, $\pic$. The goal of the second part of this thesis is to categorify Dijkgraaf-Witten (DW) theory, aiming at providing foundation for a direct construction of DW theory as an Extended Topological Quantum Field Theory. The main tool is cohomology with coefficients in a Picard groupoid, namely the Picard groupoid of hermitian lines.